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Finding the Fourth Proportional to 988.06, 1,482.31 and 410.94

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Solution

The fourth proportional to 988.06, 1,482.31 and 410.94 is: 616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.06 : 1,482.31 = 410.94 : x
  2. Step 2: Convert to fraction form
    988.06/1,482.31 = 410.94/x
  3. Step 3: Cross multiply
    988.06x = 1,482.31 × 410.94
  4. Step 4: Simplify right side
    988.06x = 609,140.47
  5. Step 5: Solve for x
    x = 609,140.47/988.06
  6. Step 6: Final answer
    x = 616.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.